# Grade 2: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 25 concepts ready. In the app: https://ai.page/roadmap/sc-grade-2 Part of: [South Carolina: Mathematics](https://ai.page/roadmap/sc.md) Goal: South Carolina academic standards: Mathematics, Grade 2 ## 1. Patterns, Algebra, and Functional Reasoning · Recognize, describe, extend, and create patterns. - [Extending Table Patterns](https://ai.page/c/extending-table-patterns/index.md): Recognise and use repeated reasoning to generalise: extend multiplication table patterns, derive unknown facts from known ones, and describe rules for sequences - [Patterns & Sequences](https://ai.page/c/patterns-and-sequences/index.md): Order and arrange combinations of mathematical objects in patterns and sequences ## 2. Patterns, Algebra, and Functional Reasoning · Understand and apply properties of operations and the relationship between addition and subtraction to solve problems. - [Arrays for multiplication (age 7+)](https://ai.page/c/arrays-for-multiplication-age-7/index.md): Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and 5 columns; write an equation to express the total as a sum of equal addends - [Odd or Even](https://ai.page/c/odd-or-even/index.md): Determine whether a group of objects (up to 20) has an odd or even number of members - [Addition and subtraction within 20](https://ai.page/c/addition-and-subtraction-within-20/index.md): Add and subtract within 20 using strategies such as making ten, decomposing a number leading to ten, and using known facts - [Properties of Operations](https://ai.page/c/properties-of-operations/index.md): Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide - [Patterns in Times Tables](https://ai.page/c/patterns-in-times-tables/index.md): Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations - [Two-step addition and subtraction problems](https://ai.page/c/two-step-addition-and-subtraction-problems/index.md): Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why - [Connecting Representations](https://ai.page/c/connecting-representations/index.md): Move between real-world situations, drawings, and number sentences, explaining how each representation connects to the others (quantitative reasoning) ## 3. Numerical Reasoning · Represent and compare partitioned shapes in multiple ways using part-whole relationships. - [Halves & Quarters of Shapes](https://ai.page/c/halves-and-quarters-of-shapes/index.md): Partition circles and rectangles into two and four equal shares and describe them using the words halves, fourths, and quarters - [Decomposing a shape into more equal shares](https://ai.page/c/decomposing-a-shape-into-more-equal-shares/index.md): Understand that decomposing a shape into more equal shares creates smaller shares - [Fractions as parts of shapes](https://ai.page/c/fractions-as-parts-of-shapes/index.md): Partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole ## 4. Numerical Reasoning · Demonstrate the ability to compare quantities of objects and numerals representing quantities of objects. - [Comparing Large Numbers](https://ai.page/c/comparing-large-numbers/index.md): Order and compare numbers beyond 1000 ## 5. Numerical Reasoning · Explain the relationship between numbers and quantities. - [Counting forwards and backwards](https://ai.page/c/counting-forwards-and-backwards/index.md): Count forwards and backwards in steps of 3 from 0 ## 6. Numerical Reasoning · Represent multi-digit numbers in a variety of ways to build place value understanding. - [10 or 100 More or Less](https://ai.page/c/10-or-100-more-or-less/index.md): Find 10 or 100 more or less than a given number up to 1000 - [Place value of each digit](https://ai.page/c/place-value-of-each-digit/index.md): Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones) - [Representing Numbers](https://ai.page/c/representing-numbers/index.md): Identify, represent, and estimate numbers using different representations including the number line - [Numbers to 10,000](https://ai.page/c/numbers-to-10-000/index.md): Identify, represent, and estimate numbers up to 10,000 using different representations ## 7. Measurement, Geometry, and Spatial Reasoning · Analyze, describe, and manipulate shapes to make sense of their relationships in mathematical and real-world situations. - [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn ## 8. Measurement, Geometry, and Spatial Reasoning · Describe, estimate, measure, and compare objects in real-world situations using units of length, weight, currency, and time. - [Halves and quarters (age 7+)](https://ai.page/c/halves-and-quarters-age-7/index.md): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately - [Calculating with measurements](https://ai.page/c/calculating-with-measurements/index.md): Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units - [Measuring with different units](https://ai.page/c/measuring-with-different-units/index.md): Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen - [Comparing lengths by measuring](https://ai.page/c/comparing-lengths-by-measuring/index.md): Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit - [Estimating Lengths](https://ai.page/c/estimating-lengths/index.md): Estimate lengths using units of inches, feet, centimetres, and metres ## 9. Data, Probability, and Statistical Reasoning · Create and answer survey questions, collect and analyze data, and communicate through multiple representations. - [Picture & Bar Graphs](https://ai.page/c/picture-and-bar-graphs/index.md): Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories; solve put-together, take-apart, and compare problems using information presented in a bar graph ## Health: 0 of 100 Of its 25 own concepts: 0 have an explanation, 0 have practice, 0 have a measurement question, 0 have a checked version. Findings (each is a task for anyone's AI): - Extending Table Patterns has no explanation yet - Patterns & Sequences has no explanation yet - Arrays for multiplication (age 7+) has no explanation yet - Odd or Even has no explanation yet - Addition and subtraction within 20 has no explanation yet - Properties of Operations has no explanation yet - Patterns in Times Tables has no explanation yet - Two-step addition and subtraction problems has no explanation yet - Connecting Representations has no explanation yet - Halves & Quarters of Shapes has no explanation yet - Decomposing a shape into more equal shares has no explanation yet - Fractions as parts of shapes has no explanation yet - Comparing Large Numbers comes before Place value of each digit, which it needs - Comparing Large Numbers comes before Numbers to 10,000, which it needs - Comparing Large Numbers has no explanation yet - Counting forwards and backwards has no explanation yet - 10 or 100 More or Less has no explanation yet - Place value of each digit has no explanation yet - Representing Numbers has no explanation yet - Numbers to 10,000 has no explanation yet - Understanding angles has no explanation yet - Halves and quarters (age 7+) has no explanation yet - Calculating with measurements has no explanation yet - Measuring with different units has no explanation yet - Comparing lengths by measuring has no explanation yet - Estimating Lengths has no explanation yet - Picture & Bar Graphs has no explanation yet Credit: The structure of South Carolina academic standards: Mathematics (https://ed.sc.gov/instruction/standards/mathematics/standards/2025-south-carolina-college-and-career-ready-mathematics-standards/); concepts from the Marble Skill Taxonomy (v1), © Generative Spark, Inc. (withmarble.com), text CC BY-SA 4.0, database ODbL 1.0: https://github.com/withmarbleapp/os-taxonomy, mapped to its standards by Marble.